Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

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    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div187" type="section" level="1" n="97">
          <p>
            <s xml:id="echoid-s6467" xml:space="preserve">
              <pb file="0079" n="79" rhead="TABVLARVM SINVVM PER PET. APIANVM."/>
            ordinem ſignorum, eius diſtantiæ ſinum duc in ſinum maximæ declinationis Solis, & </s>
            <s xml:id="echoid-s6468" xml:space="preserve">di
              <lb/>
              <note position="right" xlink:label="note-0079-01" xlink:href="note-0079-01a" xml:space="preserve">
                <emph style="it">Hoc latera</emph>
                <lb/>
                <emph style="it">liter depre</emph>
                <lb/>
                <emph style="it">hendis.</emph>
              </note>
            uide in totum, arcus quotientis huius ex 90. </s>
            <s xml:id="echoid-s6469" xml:space="preserve">ſubductus, relinquet inuentum primum.
              <lb/>
            </s>
            <s xml:id="echoid-s6470" xml:space="preserve">Deinde propone tibi ſinum complementi primi inuenti, & </s>
            <s xml:id="echoid-s6471" xml:space="preserve">ſinum complementi maxi-
              <lb/>
              <note position="right" xlink:label="note-0079-02" xlink:href="note-0079-02a" xml:space="preserve">
                <emph style="it">Inuentum</emph>
                <lb/>
                <emph style="it">primum.</emph>
              </note>
            mæ declinationis Solis, minorem duc in totum, productum diuide in maiorem, ſinus quo
              <lb/>
            tientis ex 90. </s>
            <s xml:id="echoid-s6472" xml:space="preserve">ſubtractus, reliquum tibi faciet inuentum ſecundum: </s>
            <s xml:id="echoid-s6473" xml:space="preserve">quod etiam nomen
              <lb/>
              <note position="right" xlink:label="note-0079-03" xlink:href="note-0079-03a" xml:space="preserve">
                <emph style="it">Illud area-</emph>
                <lb/>
                <emph style="it">tim aſſeque</emph>
                <lb/>
                <emph style="it">ris.</emph>
              </note>
            habebit à medietate eclypticæ in qua ſtella iſta eſt, proinde ſi fuerit in medietate ſepten-
              <lb/>
            trionali, dicetur inuentum ſecundum ſeptentrionale. </s>
            <s xml:id="echoid-s6474" xml:space="preserve">Et hoc ipſum deinde adde ad lati
              <lb/>
            tudinem ſtellæ, ſi tamen ea fuerit in medietate zodiaci ſeptentrionali, & </s>
            <s xml:id="echoid-s6475" xml:space="preserve">latitudo ſimili-
              <lb/>
              <note position="right" xlink:label="note-0079-04" xlink:href="note-0079-04a" xml:space="preserve">
                <emph style="it">Inuentum</emph>
                <lb/>
                <emph style="it">ſecundum.</emph>
              </note>
            ter ſeptentrionalis. </s>
            <s xml:id="echoid-s6476" xml:space="preserve">Aut ſubtrahe minorem â maiori, quoniam non ſint unius nominis
              <lb/>
            ſcilicet medietas zodiaci & </s>
            <s xml:id="echoid-s6477" xml:space="preserve">latitudo ſtellæ, ex hac additione quicquid prouenit, aut ex
              <lb/>
              <note position="right" xlink:label="note-0079-05" xlink:href="note-0079-05a" xml:space="preserve">
                <emph style="it">Argumen-</emph>
                <lb/>
                <emph style="it">tum decli-</emph>
                <lb/>
                <emph style="it">nationis.</emph>
              </note>
            ſubtractione remanet, dicetur argumentum declinationis. </s>
            <s xml:id="echoid-s6478" xml:space="preserve">Hoc ſi ex additione prodijt,
              <lb/>
            nomen argumenti retinebit: </s>
            <s xml:id="echoid-s6479" xml:space="preserve">ſin autem ex ſubtractione ſupereſt, habebit nomen nume-
              <lb/>
            ri maioris. </s>
            <s xml:id="echoid-s6480" xml:space="preserve">Poſt hæc duces ſinum complementi inuenti primi in ſinum argumenti decli-
              <lb/>
              <note position="right" xlink:label="note-0079-06" xlink:href="note-0079-06a" xml:space="preserve">
                <emph style="it">Numerus</emph>
                <lb/>
                <emph style="it">maior.</emph>
              </note>
            nationis, & </s>
            <s xml:id="echoid-s6481" xml:space="preserve">diuides productum in totum, arcus quotiẽtis erit declinatio ſtellæ, & </s>
            <s xml:id="echoid-s6482" xml:space="preserve">ſeruat
              <lb/>
            nomen argumenti, ſiue ſeptentrionalis ſiue meridionalis. </s>
            <s xml:id="echoid-s6483" xml:space="preserve">Porrò ſi nihil in argumento
              <lb/>
            fuerit, etiam tunc declinatio erit nulla, nec eſt quod ultra labores, ſed ſi punctum ſiue
              <lb/>
            ſtella ſit in eclyptica, declinationem retinet eclypticæ, ſicut per 5. </s>
            <s xml:id="echoid-s6484" xml:space="preserve">pronunciatum inue-
              <lb/>
            nies. </s>
            <s xml:id="echoid-s6485" xml:space="preserve">?</s>
            <s xml:id="echoid-s6486" xml:space="preserve">? Exemplum non erit hic tibi contemnendum. </s>
            <s xml:id="echoid-s6487" xml:space="preserve">Adſumo ecce quartam ſtellam
              <lb/>
              <note position="right" xlink:label="note-0079-07" xlink:href="note-0079-07a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
              E
                <emph style="it">piſcopi.</emph>
              </note>
            Agitatoris, quæ ſecundum Alfonſi regis obſeruationem habet in longitudine 19. </s>
            <s xml:id="echoid-s6488" xml:space="preserve">gra.
              <lb/>
            </s>
            <s xml:id="echoid-s6489" xml:space="preserve">59. </s>
            <s xml:id="echoid-s6490" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6491" xml:space="preserve">II, & </s>
            <s xml:id="echoid-s6492" xml:space="preserve">in latitudine 20. </s>
            <s xml:id="echoid-s6493" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6494" xml:space="preserve">0. </s>
            <s xml:id="echoid-s6495" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6496" xml:space="preserve">ſeptentrionalis. </s>
            <s xml:id="echoid-s6497" xml:space="preserve">Ideo´ ſtellam hanc propono
              <lb/>
            libentius, quia ipſa hora intronizationis cum Sole penè in uno fuit circulo poſitionis,
              <lb/>
            ex ſecundo pronunciato iam inueni uerificationem ſtellæ 2. </s>
            <s xml:id="echoid-s6498" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6499" xml:space="preserve">37. </s>
            <s xml:id="echoid-s6500" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6501" xml:space="preserve">tantum nimi-
              <lb/>
              <note position="right" xlink:label="note-0079-08" xlink:href="note-0079-08a" xml:space="preserve">
                <emph style="it">Motus au-</emph>
                <lb/>
                <emph style="it">grum & ſtel</emph>
                <lb/>
                <emph style="it">larum fixæ</emph>
                <lb/>
                <emph style="it">rum à tem-</emph>
                <lb/>
                <emph style="it">pore Alfon</emph>
                <lb/>
                <emph style="it">ſi, uſq; ad</emph>
                <lb/>
                <emph style="it">horam in-</emph>
                <lb/>
                <emph style="it">tronizatio</emph>
                <lb/>
                <emph style="it">nis.</emph>
              </note>
            rum auges planetarum & </s>
            <s xml:id="echoid-s6502" xml:space="preserve">ſtellæ fixæ ſecundum ſententiam Alfonſi ab ipſius tempore
              <lb/>
            ſunt promotæ uſ ad horam intronizationis. </s>
            <s xml:id="echoid-s6503" xml:space="preserve">His ergo additis, habeo 22. </s>
            <s xml:id="echoid-s6504" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6505" xml:space="preserve">35. </s>
            <s xml:id="echoid-s6506" xml:space="preserve">min.
              <lb/>
            </s>
            <s xml:id="echoid-s6507" xml:space="preserve">II, quo loci fuit illa ſtella fixa ad horam propoſitã, latitudiuem hanc ſicut omnes Aſtro-
              <lb/>
            nomifaciunt, ita retineo fixam & </s>
            <s xml:id="echoid-s6508" xml:space="preserve">immotã. </s>
            <s xml:id="echoid-s6509" xml:space="preserve">Deinceps diſtantia ſtellæ à principio Can-
              <lb/>
            cri eſt 7. </s>
            <s xml:id="echoid-s6510" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6511" xml:space="preserve">25. </s>
            <s xml:id="echoid-s6512" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6513" xml:space="preserve">ſinum eius 12908. </s>
            <s xml:id="echoid-s6514" xml:space="preserve">duco in ſinum maximæ declinationis 39874. </s>
            <s xml:id="echoid-s6515" xml:space="preserve">& </s>
            <s xml:id="echoid-s6516" xml:space="preserve">
              <lb/>
            diuido per totum ſinum, quotiens dabit 5147. </s>
            <s xml:id="echoid-s6517" xml:space="preserve">arcus eius eſt 2. </s>
            <s xml:id="echoid-s6518" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6519" xml:space="preserve">57. </s>
            <s xml:id="echoid-s6520" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6521" xml:space="preserve">at no-
              <lb/>
            men habet intrenti primi, ſinum complementi maximæ declinationis Solis 91706. </s>
            <s xml:id="echoid-s6522" xml:space="preserve">du-
              <lb/>
            co in totum, & </s>
            <s xml:id="echoid-s6523" xml:space="preserve">productum diuido in ſinum complementi primi inuenti ſcilicet 99867. </s>
            <s xml:id="echoid-s6524" xml:space="preserve">
              <lb/>
            quotiens producit 91828. </s>
            <s xml:id="echoid-s6525" xml:space="preserve">arcus eius 66. </s>
            <s xml:id="echoid-s6526" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6527" xml:space="preserve">41. </s>
            <s xml:id="echoid-s6528" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6529" xml:space="preserve">Complementum autem eius eſt in-
              <lb/>
            uentum ſecundum, & </s>
            <s xml:id="echoid-s6530" xml:space="preserve">Boreale, quum ſtella ſit in ſigno Boreali. </s>
            <s xml:id="echoid-s6531" xml:space="preserve">Deinceps addo inuen-
              <lb/>
            tum ſecundum ſcilicet 23. </s>
            <s xml:id="echoid-s6532" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6533" xml:space="preserve">19. </s>
            <s xml:id="echoid-s6534" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6535" xml:space="preserve">ad latitudinem ſtellæ 20. </s>
            <s xml:id="echoid-s6536" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6537" xml:space="preserve">quando in ſeptentri-
              <lb/>
            onali plaga participant, & </s>
            <s xml:id="echoid-s6538" xml:space="preserve">proueniunt 43. </s>
            <s xml:id="echoid-s6539" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6540" xml:space="preserve">19. </s>
            <s xml:id="echoid-s6541" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6542" xml:space="preserve">argumentum ſcilicet declinatio-
              <lb/>
            nis. </s>
            <s xml:id="echoid-s6543" xml:space="preserve">Iam nunc duco ſinum complementi inuenti primi 78. </s>
            <s xml:id="echoid-s6544" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6545" xml:space="preserve">3. </s>
            <s xml:id="echoid-s6546" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6547" xml:space="preserve">ſcilicet 99867. </s>
            <s xml:id="echoid-s6548" xml:space="preserve">in ſi-
              <lb/>
            num argumenti declinationis ſcilicet 68603. </s>
            <s xml:id="echoid-s6549" xml:space="preserve">& </s>
            <s xml:id="echoid-s6550" xml:space="preserve">diuido in totum, quotiens producet
              <lb/>
            68512. </s>
            <s xml:id="echoid-s6551" xml:space="preserve">arcus eius 43 gra. </s>
            <s xml:id="echoid-s6552" xml:space="preserve">15. </s>
            <s xml:id="echoid-s6553" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6554" xml:space="preserve">eſt ipſa declinatio ſtellæ quæſita & </s>
            <s xml:id="echoid-s6555" xml:space="preserve">ſeptentrionalis, quan
              <lb/>
            doquidem argumentum nomen hoc habet, & </s>
            <s xml:id="echoid-s6556" xml:space="preserve">inde illud etiam declinatio ſumit.</s>
            <s xml:id="echoid-s6557" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div190" type="section" level="1" n="98">
          <head xml:id="echoid-head102" xml:space="preserve">PRONVNCIATVM LXXXVI.</head>
          <p>
            <s xml:id="echoid-s6558" xml:space="preserve">Declinationem ſtellæ alio & </s>
            <s xml:id="echoid-s6559" xml:space="preserve">iucundiore modo perquirere.</s>
            <s xml:id="echoid-s6560" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6561" xml:space="preserve">Conſidera primum an ſtella ſit in medietate zodiaci ſeptentrionali uel meridionali,
              <lb/>
            deinde cuinam puncto æquinoctij propius accedat, ut quicquid inter eſt à principio A-
              <lb/>
            rietis uſ ad finem II, id totũ principio Arietis adnumeratur, & </s>
            <s xml:id="echoid-s6562" xml:space="preserve">quod à principio Can
              <lb/>
            cri eſt uſ ad principium Libræ, ad ♎ computatur. </s>
            <s xml:id="echoid-s6563" xml:space="preserve">Eam diſtantiam ſubtrahe à 90. </s>
            <s xml:id="echoid-s6564" xml:space="preserve">& </s>
            <s xml:id="echoid-s6565" xml:space="preserve">ſi-
              <lb/>
            num complementi uel reſidui duc in ſinum complementi latitudinis ſtellæ, peracta diui
              <lb/>
              <note position="right" xlink:label="note-0079-09" xlink:href="note-0079-09a" xml:space="preserve">
                <emph style="it">Inuentum</emph>
                <lb/>
                <emph style="it">primum.</emph>
              </note>
            ſione ſinus perfecti, erit arcus complementi quotientis inuentum primum. </s>
            <s xml:id="echoid-s6566" xml:space="preserve">Poſtea duc
              <lb/>
            ſinum latitudinis ſtellæ in totum, & </s>
            <s xml:id="echoid-s6567" xml:space="preserve">diuide in ſinum primi inuenti, arcus quotientis uo
              <lb/>
              <note position="right" xlink:label="note-0079-10" xlink:href="note-0079-10a" xml:space="preserve">
                <emph style="it">Inuentum</emph>
                <lb/>
                <emph style="it">ſecundum.</emph>
              </note>
            cabitur inuentum ſecundum, hoc iam adde ad maximam Solis declinationem, quum
              <lb/>
            latitudo in nomine conueniat unà cum medietate eclypticæ, ſum@a e@ erit argumen-
              <lb/>
            tum declinationis, retinebit´ nomen medietatis eclypticæ in qua eſt ſtella propoſita:
              <lb/>
            </s>
            <s xml:id="echoid-s6568" xml:space="preserve">quòd ſi autem latitudo ſtellæ aliud non habuerit quàm medietas eclypticæ, </s>
          </p>
        </div>
      </text>
    </echo>